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19 tháng 8 2020

Đặt \(A=12.\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)

\(\Rightarrow2A=24.\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)

     \(2A=\left(5^2-1\right).\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)

     \(2A=\left(5^4-1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)

     \(2A=\left(5^8-1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)

     \(2A=\left(5^{16}-1\right).\left(5^{16}+1\right)\)

     \(2A=\left(5^{16}\right)^2-1^2\)

     \(2A=5^{32}-1\)

\(\Rightarrow A=\frac{5^{32}-1}{2}.\)

13 tháng 9 2017

Nhân cả 2 vế với 2 ta có:

2P=24(52+1)(54+1)(58+1)(516+1)

2P=(52_1)(52+1)(54+1)(58+1)(516+1)

2P=(54_1)(54+1)(58+1)(516+1)

2P=(58_1)(58+1)(516+1)

2P=(516_1)(516+1)

2P=532_1

P=\(\frac{5^{32}-1}{2}\)

29 tháng 8 2015

 

P = 12 ( 52  + 1 ) ( 54 + 1 ) ( 58 +1 ) ( 516 +1 )

=>2P=24 ( 52  + 1 ) ( 54 + 1 ) ( 58 +1 ) ( 516 +1 )

=( 52 - 1 ) ( 52  + 1 ) ( 54 + 1 ) ( 58 +1 ) ( 516 +1 )

=( 54 - 1 ) ( 54 + 1 ) ( 58 +1 ) ( 516 +1 )

=( 58 - 1 ) ( 58 +1 ) ( 516 +1 )

=( 516 - 1 ) ( 516 + 1 )

= 532 - 1

=>P=\(\frac{5^{32}-1}{2}\)

 

4 tháng 10 2020

\(P=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^{16}-1\right)\left(5^{16}+1\right)\)

\(2P=5^{32}-1\)

\(P=\frac{5^{32}-1}{2}\)

10 tháng 9 2015

P=12(5^2+1)(5^4+1)(5^8+1)(5^16+1)

2P=24(5^2+1)(5^4+1)(5^8+1)(5^16+1)

2P=(5-1)(5+1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)

2P=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)

2P=(5^4-1)(5^4+1)(5^8+1)(5^16+1)

2P=(5^8-1)(5^8+1)(5^16+1)

2P=(5^16-1)(5^16+1)

2P=5^32-1

P=(5^32-1):2

14 tháng 8 2019

\(P=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(P=\frac{1}{2}\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(P=\frac{1}{2}\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(P=\frac{1}{2}\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(P=\frac{1}{2}\left(5^{16}-1\right)\left(5^{16}+1\right)\)

\(P=\frac{1}{2}\left(5^{32}+1\right)\)

10 tháng 6 2016

P=12(5^2+1)(5^4+1)(5^8+1)(5^16+1)

1/2P=24(5^2+1)(5^4+1)(5^8+1)(5^16+1)

1/2P=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)

1/2P=(5^4-1)(5^4+1)(5^8+1)(5^16+1)

1/2P=(5^8-1)(5^8+1)(5^16+1)

1/2P=(5^16-1)(5^16+1)

1/2P=5^32-1

P=(5^32-1):1/2=2(5^32-1)

10 tháng 6 2016

\(2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)

\(2P=\left(5^{16}-1\right)\left(5^{16}+1\right)\Rightarrow2P=5^{32}-1\Rightarrow P=\frac{5^{32}-1}{2}\)